I EV per Torr*cm -- What does it mean?

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The discussion centers on the energy requirements for nitrogen lasers, specifically the 80 to 100 eV per Torr*cm pressure of nitrogen gas. This value represents an ionization constant related to Paschen's Law, which connects electric field strength to the energy needed for ionization and sustaining a discharge. The pressure factor is crucial as it influences the mean free path length, affecting energy per collision. Additionally, the energy specified is not just for discharge but is sufficient to excite the lasing state. The conversion to SI units is also clarified, emphasizing its relevance in understanding the energy dynamics in laser operation.
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I was reading about this
https://en.wikipedia.org/wiki/Nitrogen_laser

and it says "80 to 100 eV per Torr*cm pressure of nitrogen gas". I'm finding this a little bit confusing. It needs some specific amount of energy in a centimeter of volume with 1 Torr of pressure?
 
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I don’t see that in the article, but I can explain the unit.

That is an ionization constant. See the wiki article on Paschen’s Law:
https://en.m.wikipedia.org/wiki/Paschen's_law
This constant relates the electric field strength to the energy per collision required to cause ionization and so sustain a discharge. The pressure is in there because the energy accumulated by a particle depends on the distance over which it is accelerated by the field, so the energy per collision depends on the mean free path length which is inversely proportional to the pressure.

Note that for a laser this constant is not necessarily for the minimum energy for discharge, but sets the energy per collision high enough to excite the lasing state.
 
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Cutter Ketch said:
I don’t see that in the article, but I can explain the unit.

That is an ionization constant. See the wiki article on Paschen’s Law:
https://en.m.wikipedia.org/wiki/Paschen's_law
This constant relates the electric field strength to the energy per collision required to cause ionization and so sustain a discharge. The pressure is in there because the energy accumulated by a particle depends on the distance over which it is accelerated by the field, so the energy per collision depends on the mean free path length which is inversely proportional to the pressure.

Note that for a laser this constant is not necessarily for the minimum energy for discharge, but sets the energy per collision high enough to excite the lasing state.
Love you, thank you very much
 
it is in surface area units. In SI units it is
eV per Torr*cm=##\frac{q_e*V}{Torr*cm}=\frac{1.60217646*10^{-19}*C*V}{133.322*Pa*m/100}=\frac{1.60217646*10^{-17}*C*V}{133.322*N/m}=1.2017344924318567*10^{-19}*m^2##
 
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